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Finding the Fourth Proportional to 297,904.64, 446,886.12 and 98,143.52

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Solution

The fourth proportional to 297,904.64, 446,886.12 and 98,143.52 is: 147,224.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,904.64 : 446,886.12 = 98,143.52 : x
  2. Step 2: Convert to fraction form
    297,904.64/446,886.12 = 98,143.52/x
  3. Step 3: Cross multiply
    297,904.64x = 446,886.12 × 98,143.52
  4. Step 4: Simplify right side
    297,904.64x = 43,858,976,855.94
  5. Step 5: Solve for x
    x = 43,858,976,855.94/297,904.64
  6. Step 6: Final answer
    x = 147,224.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.